{"id":22662,"date":"2022-05-23T19:00:51","date_gmt":"2022-05-23T13:30:51","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=22662"},"modified":"2023-11-10T10:25:45","modified_gmt":"2023-11-10T04:55:45","slug":"selina-concise-mathematics-class-7-icse-solutions-exponents-including-laws-of-exponents","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/selina-concise-mathematics-class-7-icse-solutions-exponents-including-laws-of-exponents\/","title":{"rendered":"Selina Concise Mathematics class 7 ICSE Solutions – Exponents (Including Laws of Exponents)"},"content":{"rendered":"

Selina Concise Mathematics class 7 ICSE Solutions – Exponents<\/a> (Including Laws of Exponents<\/a>)<\/span><\/h2>\n

ICSE Solutions<\/a>Selina ICSE Solutions<\/a>ML Aggarwal Solutions<\/a><\/p>\n

APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 7 Mathematics. You can download the Selina Concise Mathematics ICSE Solutions for Class 7 with Free PDF download option. Selina Publishers Concise Mathematics for Class 7 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.<\/p>\n

Selina Class 7 Maths ICSE Solutions<\/a>Physics<\/a>Chemistry<\/a>Biology<\/a>Geography<\/a>History & Civics<\/a><\/p>\n

EXERCISE 5 (A)<\/strong><\/span><\/p>\n

Question 1.<\/strong><\/span>
\nFind the value of:<\/strong>
\n (i) 6\u00b2\u00a0<\/strong>
\n (ii) 73<\/sup><\/strong>
\n (iii) 44<\/sup><\/strong>
\n (iv) 55<\/sup><\/strong>
\n (v) 83<\/sup><\/strong>
\n (vi) 75<\/sup><\/strong><\/p>\n

Solution:<\/strong><\/span>
\n(i)<\/strong> 62<\/sup> = 6 x 6 = 36
\n(ii)<\/strong> 73<\/sup> = 7 x 7 x 7 = 343
\n(iii)<\/strong> 44<\/sup> = 4 x 4 x 4 x 4 = 256
\n(iv)<\/strong> 55<\/sup>= 5 x 5 x 5 x 5 x 5 = 3125
\n(v)<\/strong> 83<\/sup> = 8 x 8 x 8 = 512
\n(vi)<\/strong> 75\u00a0<\/sup>= 7 x 7 x 7 x 7 x 7 =16807<\/p>\n

Question 2.<\/strong><\/span>
\nEvaluate:<\/strong>
\n (i) 23<\/sup> x 42<\/sup><\/strong>
\n (ii) 23<\/sup> x\u00a052<\/sup><\/strong>
\n (iii) 33<\/sup> x 52<\/sup><\/strong>
\n (iv) 22<\/sup> x 33<\/sup><\/strong>
\n (v) 32<\/sup> x 52<\/sup><\/strong>
\n (vi) 53<\/sup> x 24<\/sup><\/strong>
\n (vii) 32\u00a0<\/sup>x 42<\/sup><\/strong>
\n (ix) (5 x 4)2<\/sup><\/strong><\/p>\n

Solution:<\/strong><\/span>
\n(i)<\/strong> 23<\/sup> x 42<\/sup>
\n= 2 x 2 x 2 x 4 x 4
\n= 8 x 16
\n= 128
\n(ii)<\/strong> 23<\/sup> x 52<\/sup>
\n= 2 x 2 x 2 x 5 x 5
\n= 8 x 25
\n= 200
\n(iii)<\/strong> 33<\/sup> x 52<\/sup>
\n=3 x 3 x 3 x 5 x 5
\n= 27 x 25
\n= 675
\n(iv)<\/strong> 22<\/sup> x 33<\/sup>
\n= 2 x 2 x 3 x 3 x 3
\n= 4 x 27
\n= 108
\n(v)<\/strong> 32<\/sup> x 53<\/sup>
\n=3 x3 x 5 x 5 x 5
\n= 9 x 125
\n= 1125
\n(vi)<\/strong> 53<\/sup> x 24<\/sup>
\n= 5 x 5 x 5 x 2 x 2 x 2 x 2
\n= 125 x 16
\n= 2000
\n(vii)<\/strong> 32<\/sup> x 42<\/sup>
\n=3 x 3 x 4 x 4
\n= 9 x 16
\n=144
\n(viii)<\/strong> (4 x 3)3<\/sup>
\n=4 x 4 x 4 x 3 x 3 x 3
\n= 64 x 27
\n= 1728
\n(ix)<\/strong> (5 x 4)2<\/sup>
\n=5 x 5 x 4 x 4
\n= 25 x 16
\n= 400<\/p>\n

Question 3.<\/strong><\/span>
\nEvaluate:<\/strong>
\n\"Selina<\/p>\n

Solution:<\/strong><\/span>
\n\"Selina<\/p>\n

Question 4.<\/strong><\/span>
\nEvaluate :<\/strong>
\n\"Selina<\/p>\n

Solution:<\/strong><\/span>
\n\"Selina
\n\"Selina<\/p>\n

Question 5.<\/strong><\/span>
\nWhich is greater :<\/strong>
\n (i) 23<\/sup> or 32<\/sup>
\n(ii) 25<\/sup> or 52<\/sup><\/strong>
\n (iii) 43<\/sup> or 34<\/sup>
\n(iv) 54<\/sup> or 45<\/sup><\/strong><\/p>\n

Solution:<\/strong><\/span>
\n(i)<\/strong> 23<\/sup> or 33<\/sup>
\nSince, 23<\/sup> = 2 x 2 x 2 = 8
\nand, 32<\/sup> = 3 x 3 = 9
\n\u22359 is greater than 8 \u21d2 32<\/sup> > 23<\/sup>
\n(ii)<\/strong> 25<\/sup> or 52<\/sup>
\nSince, 25<\/sup> = 2 x 2 x 2 x 2 x 2 = 32
\nand, 52<\/sup> = 5 x 5 = 25
\n\u223532 is greater than 25 \u21d2 235<\/sup> > 532<\/sup>
\n(iii)<\/strong> 43<\/sup> or 34<\/sup>
\nSince, 43<\/sup> = 4 x 4 x 4 = 64
\nand, 34<\/sup> = 3 x 3 x 3 x 3 = 81
\n\u2235 81 is greater than 64 \u21d2 34<\/sup> > 43<\/sup>
\n(iv)<\/strong> 54<\/sup> or 45<\/sup>
\nSince, 54<\/sup> = 5 x 5 x 5 x 5 = 625
\nand, 45\u00a0<\/sup>= 4 x 4 x 4 x 4 x 4= 1024
\n\u2235 1024 is greater than 625 \u21d2 45<\/sup> > 54<\/sup><\/p>\n

Question 6.<\/strong><\/span>
\nExpress each of the following in exponential form :<\/strong>
\n (i) 512<\/strong>
\n (ii) 1250<\/strong>
\n (iii) 1458<\/strong>
\n (iv) 3600<\/strong>
\n (v) 1350<\/strong>
\n (vi) 1176<\/strong><\/p>\n

Solution:<\/strong><\/span>
\n(i)<\/strong> 512
\n\"Selina<\/p>\n

(ii)<\/strong> 1250
\n\"Selina<\/p>\n

(iii)<\/strong> 1458
\n\"Selina<\/p>\n

(iv)<\/strong> 3600
\n\"Selina<\/p>\n

(v)<\/strong> 1350
\n\"Selina<\/p>\n

(vi)<\/strong> 1176
\n\"Selina<\/p>\n

Question 7.<\/strong><\/span>
\nIf a = 2 and b = 3, find the value of:<\/strong>
\n (i) (a + b)2<\/sup><\/strong>
\n (ii) (b – a)3<\/sup><\/strong>
\n (iii) (a x b)a (iv) (a x b)b<\/strong><\/p>\n

Solution:<\/strong><\/span>
\n(i)<\/strong> (a + b)2<\/sup>
\n= (2 + 3)2<\/sup> = (5)2<\/sup> = 5 x 5 = 25<\/p>\n

(ii)<\/strong> (b – a)2<\/sup>
\n= (3 – 2)2<\/sup>= (1)3<\/sup>
\n= 1 x 1 x 1 = 1<\/p>\n

(iii)<\/strong> (a x b)a<\/sup>
\n= (2 x 3)2<\/sup> – (6)2<\/sup>
\n= 6 x 6 = 36<\/p>\n

(iv)<\/strong> (a x b)b<\/sup>
\n= (2 x 3)3<\/sup> = (6)3<\/sup> = 6 x 6 x 6 = 216<\/p>\n

Question 8.<\/strong><\/span>
\nExpress:<\/strong>
\n (i) 1024 as a power of 2.<\/strong>
\n (ii) 343 as a power of 7.<\/strong>
\n (iii) 729 as a power of 3.<\/strong>
\nSolution:<\/strong><\/span>
\n(i)<\/strong> 1024 as a power of 2.
\n\"Selina<\/p>\n

(ii)<\/strong> 343 as a power of 7.
\n\"Selina<\/p>\n

(iii)<\/strong> 729 as a power of 3.
\n\"Selina<\/p>\n

Question 9.<\/strong><\/span>
\nIf 27 x 32 = 3x<\/sup>\u00a0x 2y<\/sup>; find the values of x and y.<\/strong>
\n\"Selina<\/p>\n

Solution:<\/strong><\/span>
\n\"Selina<\/p>\n

Question 10.<\/strong><\/span>
\nIf 64 x 625 = 2a<\/sup> x 5b<\/sup>; find :<\/strong>
\n (i) the values of a and b.<\/strong>
\n (ii) 2b<\/sup> x 5a<\/sup><\/strong><\/p>\n

Solution:<\/strong><\/span>
\n(i)<\/strong> the values of a and b.
\n\"Selina<\/p>\n

(ii)<\/strong> 2b<\/sup> x 5a<\/sup>
\n\"Selina<\/p>\n

EXERCISE 5 (B)<\/strong><\/span><\/p>\n

Question 1.<\/strong><\/span>
\nFill in the blanks:<\/strong>
\n In 52<\/sup> = 25, base = ……… and index = ……….<\/strong>
\n If index = 3x and base = 2y, the number = ………<\/strong><\/p>\n

Solution:<\/strong><\/span>
\n(i)<\/strong> In 52<\/sup> = 25, base = 5 and index = 2
\n(ii)<\/strong> If index = 3x and base = 2y, the number = 2y3x<\/sup><\/p>\n

Question 2.<\/strong><\/span>
\nEvaluate:<\/strong>
\n (i) 28<\/sup> \u00f7 23<\/sup><\/strong>
\n (ii) 23\u00f7<\/sup>\u00a028<\/sup><\/strong>
\n (iii) (26<\/sup>)0<\/sup><\/strong>
\n (iv) (3o<\/sup>)6<\/sup><\/strong>
\n (v) 83<\/sup> x 8-5<\/sup> x 84<\/sup><\/strong>
\n (vi) 54\u00a0<\/sup> x 53<\/sup> + 55<\/sup><\/strong>
\n (vii) 54<\/sup>\u00a0\u00f7 53<\/sup> x 55<\/sup><\/strong>
\n (viii) 44<\/sup> \u00f7 43<\/sup> x 40<\/sup><\/strong>
\n (ix) (35<\/sup> x 47<\/sup> x 58<\/sup>)0<\/sup><\/strong><\/p>\n

Solution:<\/strong><\/span>
\n\"Selina
\n\"Selina<\/p>\n

Question 3.<\/strong><\/span>
\nSimplify, giving Solutions with positive index:<\/strong>
\n\"Selina
\n\"Selina<\/p>\n

Solution:<\/strong><\/span>
\n\"Selina
\n\"Selina
\n\"Selina
\n\"Selina
\n\"Selina
\n\"Selina<\/p>\n

Question 4.<\/strong><\/span>
\nSimplify and express the Solution in the positive exponent form :<\/strong>
\n\"Selina
\n\"Selina<\/p>\n

Solution:<\/strong><\/span>
\n\"Selina
\n\"Selina
\n\"Selina<\/p>\n

Question 5.<\/strong><\/span>
\nEvaluate<\/strong>
\n\"Selina<\/p>\n

Solution:<\/strong><\/span>
\n\"Selina
\n\"Selina
\n\"Selina
\n\"Selina<\/p>\n

Question 6.<\/strong><\/span>
\nIf m2<\/sup> = -2 and n = 2; find the values of:<\/strong>
\n (i) m\u00a0+ r2<\/sup>\u00a0– 2mn<\/strong>
\n (ii) mn<\/sup> + nm<\/sup><\/strong>
\n (iii) 6m-3<\/sup> + 4n2<\/sup><\/strong>
\n (iv) 2n3<\/sup> – 3m<\/strong><\/p>\n

Solution:<\/strong><\/span>
\n\"Selina
\n\"Selina<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

Selina Concise Mathematics class 7 ICSE Solutions – Exponents (Including Laws of Exponents) ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 7 Mathematics. You can download the Selina Concise Mathematics ICSE Solutions for Class 7 with Free PDF download option. Selina Publishers Concise Mathematics … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[11113,11112,11115,11117,11116,8598,12465,11111,11119,11118,6283,12466,11114],"yoast_head":"\nSelina Concise Mathematics class 7 ICSE Solutions - Exponents (Including Laws of Exponents) - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/selina-concise-mathematics-class-7-icse-solutions-exponents-including-laws-of-exponents\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Selina Concise Mathematics class 7 ICSE Solutions - Exponents (Including Laws of Exponents)\" \/>\n<meta property=\"og:description\" content=\"Selina Concise Mathematics class 7 ICSE Solutions – Exponents (Including Laws of Exponents) ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 7 Mathematics. 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